Year 2017,
Volume: 46 Issue: 5, 791 - 799, 01.10.2017
Vildan Çetkin
Banu Pazar Varol
Halis Aygün
References
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Journal of Intelligent and Fuzzy Systems 26 (6), 2993-3004, 2014.
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properties, Journal of Intelligent and Fuzzy Systems 29, 1941-1947, 2015.
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- Hungerford, T. W., Algebra, Graduate Texts in Mathematics 73, Springer 1974.
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and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
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of Intelligent and Fuzzy Systems 26 (3), 1245-1252, 2014.
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IOSR Journal of Math. 3, (4) 31-35, 2012.
- Shabir, M., Ali, M., Naz, M. and Smarandache, F., Soft neutrosophic group, Neutrosophic
Sets and Systems 1, 13-25, 2013.
- Smarandache, F., A unifying eld in logics. Neutrosophy/ Neutrosophic Probability, Set
and Logic, Rehoboth: American Research Press (1998) http://fs.gallup.unm.edu/eBook-
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- Wang,H., et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory
and Technology, Salt Lake City, Utah, July 21-26, 2005.
On neutrosophic submodules of a module
Year 2017,
Volume: 46 Issue: 5, 791 - 799, 01.10.2017
Vildan Çetkin
Banu Pazar Varol
Halis Aygün
Abstract
The target of this study is to observe some of the algebraic structures of a single valued neutrosophic set. So, we introduce the concept of a neutrosophic submodule of a given classical module and investigate some of the crucial properties and characterizations of the proposed concept.
References
- Arockiarani, I., Sumathi, I. R. and Martina Jency, J., Fuzzy neutrosophic soft topological
spaces, International Journal of Mathematical Arhchive 6 (10), 225-238, 2013.
- Borzooei, R.A., Farahani, H. and Moniri, M., Neutrosophic deductive lters on BL-algebras,
Journal of Intelligent and Fuzzy Systems 26 (6), 2993-3004, 2014.
- Çetkin, V. and Aygün, H., An approach to neutrosophic subgroup and its fundamental
properties, Journal of Intelligent and Fuzzy Systems 29, 1941-1947, 2015.
- Çetkin, V. and Aygün, H., A new approach to neutrosophic subrings, submitted.
- Hungerford, T. W., Algebra, Graduate Texts in Mathematics 73, Springer 1974.
- Vasantha Kandasamy W.B., and Smarandache, F., Some neutrosophic algebraic structures
and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
- Majumdar, P. and Samanta, S.K., On similarity and entropy of neutrosophic sets, Journal
of Intelligent and Fuzzy Systems 26 (3), 1245-1252, 2014.
- Salama A.A., and Al-Blowi, S.A., Neutrosophic set and neutrosophic topological spaces,
IOSR Journal of Math. 3, (4) 31-35, 2012.
- Shabir, M., Ali, M., Naz, M. and Smarandache, F., Soft neutrosophic group, Neutrosophic
Sets and Systems 1, 13-25, 2013.
- Smarandache, F., A unifying eld in logics. Neutrosophy/ Neutrosophic Probability, Set
and Logic, Rehoboth: American Research Press (1998) http://fs.gallup.unm.edu/eBook-
neutrosophics6.pdf (last edition online).
- Wang,H., et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory
and Technology, Salt Lake City, Utah, July 21-26, 2005.